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fiasKO [112]
3 years ago
10

Given a triangle MTN, prove that

Mathematics
1 answer:
cupoosta [38]3 years ago
5 0

Answer:

<em></em>\angle m + \angle t + \angle n = 180<em></em>

<em></em>

Step-by-step explanation:

Required

Show that:

\angle m + \angle t + \angle n = 180^o

To make the proof easier, I've added a screenshot of the triangle.

We make use of alternate angles to complete the proof.

In the attached triangle, the two angles beside \angle m are alternate to \angle t and \angle n

i.e.

\angle 1 = \angle t

\angle 2 = \angle n

Using angle on a straight line theorem, we have:

\angle 1 + \angle m + \angle 2 = 180

Substitute values for (1) and (2)

\angle t + \angle m + \angle n = 180

Rewrite as:

<em></em>\angle m + \angle t + \angle n = 180<em> -- proved</em>

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